4 papers
Parabolicity of degenerate singularities of axisymmetric Zhukovsky case
Vladislav Kibkalo
The degenerate singularities of systems from one well-known multiparameter family of integrable systems of rigid body dynamics are studied. Axisymmetric Zhukovsky systems are consi…
Topology of isoenergy surfaces of Kovalevskaya integrable case on the Lie algebra so(4)
Vladislav Kibkalo
In the paper we determine the class of diffeomorphism of three-dimensional regular common level surfaces of Hamiltonian and Casimir functions for the analog of Kovalevskaya case on…
Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(4)
Vladislav Kibkalo
Topology of Liouville foliations for an analogue of the Kovalevskaya integrable case on Lie algebra so(4) is discussed. Fomenko-Zieschang invariants (i.e. marked molecules) were ca…
Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(3, 1)
Vladislav Kibkalo
In this paper, we study the topology of the Liouville foliation of an analogue of the Kovalevskaya integrable case on the Lie algebra so(3; 1). The Fomenko-Zieschang invariants (i.…